Abstract
Constacyclic codes are preferred in engineering applications due to their efficient encoding process via shift registers. The class of constacyclic codes contains cyclic and negacyclic codes. The relation and presentation of cyclic codes as group algebras has been considered. Here for the first time, we establish a relation between constacyclic codes and group algebras and study their algebraic structures. Further, we give a method for constructing constacyclic codes by using zero-divisors in group algebras. Some good parameters for constacyclic codes which are derived from the proposed construction are also listed.
Keywords
Mathematics
Class (philosophy)
Group (periodic table)
Discrete mathematics
Algebraic structure
Relation (database)
Algebraic number
Group code
Combinatorics
Block code
Pure mathematics
Linear code
Decoding methods
Computer science
Algorithm
Physics
Subject Areas
Coding theory and cryptography
·Artificial Intelligence ·Physical Sciences
Quantum-Dot Cellular Automata
·Computational Theory and Mathematics ·Physical Sciences
Cooperative Communication and Network Coding
·Computer Networks and Communications ·Physical Sciences
Citations by Year
2022: 1
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